s)
5
A body moves vertically to a height of 125m in 5ses and then come
back to the point
the point of projection, Find
average
speed and average velocity
total distance and displacement,
Answers
Given :-
◉ A body moves to a height of h = 125 m in time t = 5 seconds and then come back to the point of projection.
◉ g = 10 m/s²
To Find :-
◉ Average speed and Average velocity
◉ Total distance and displacement
Solution :-
First, Let me relieve the pressure of finding average velocity and total displacement.
Given in the question that the body comes back to the point of projection. Hence, displacement made is 0 and so the average velocity because displacement is the shortest path length between final and initial position.
So, We have to find the total distance and average speed.
Now, In a free fall motion, the distance travelled and time taken while ascending is equal to the distance travelled and time taken while descending.
So, Total distance travelled = 2 × Height
⇒ Total distance = 2 × 125
⇒ Total distance = 250 m
Similarly, Total time taken = 2 × Time taken while ascending
⇒ Total time taken = 2 × 5
⇒ Total time taken = 10 s
Further,
⇒ Average speed = Total distance / total time
⇒ avg. speed = 250 / 10
⇒ Average speed = 25 m/s
So, We found that,
- Total displacement = 0 m
- Average velocity = 0 m/s
- Total distance travelled = 250 m
- Average speed = 25 m/s